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arXiv:2310.19327 · Zhongguo kexue. Wulixue Lixue Tianwenxue

Semiquantum proxy blind signature based on quantum teleportation

Xiao TAN, Tian-Yu Ye

Published Feb 7, 2024• 4 citations
arXivHTMLPDF

Abstract

In this paper, we propose a novel semiquantum proxy blind signature scheme using quantum teleportation based on χ states, where the original message owner, proxy signer, and third party are quantum participants with complete quantum capabilities, while the original signer and signature verifier are semiquantum participants with limited quantum capabilities. Our protocol not only has complete blindness, unforgeability, and nonrepudiation, but it also resists the attack behavior of an eavesdropper. Because of the limited quantum capabilities of the original signer and signature verifier, our protocol does not require them to prepare and measure the quantum superposition and quantum entangled states when used in practical applications. Hence, our protocol can reduce the burden of quantum state preparation and measurement for the original signer and signature verifier.

DOI
10.1360/sspma-2023-0426

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In this paper, we propose a novel semiquantum proxy blind signature scheme using quantum teleportation based on χ states, where the original message owner, proxy signer, and third party are quantum participants with complete quantum capabilities, while the original signer and signature verifier are semiquantum participants with limited quantum capabilities. Our protocol not only has complete blindness, unforgeability, and nonrepudiation, but it also resists the attack behavior of an eavesdropper. Because of the limited quantum capabilities of the original signer and signature verifier, our protocol does not require them to prepare and measure the quantum superposition and quantum entangled states when used in practical applications. Hence, our protocol can reduce the burden of quantum state preparation and measurement for the original signer and signature verifier.
In this study, we propose the semiquantum group proxy blind signature scheme, in which the signature verifier and some proxy signers only possess limited quantum capabilities. On the basis that the original message content of the original message owner is blind to the original signer, the signature verifier, the proxy signature group and the trusted third party helping complete the signing process, this scheme can accomplish the goal of the original singer authorizing the proxy signature group to sign this original message. This scheme is proved to have unforgeability, non-repudiation, complete blindness and security. Since the signature verifier and some proxy signers only possess limited quantum capabilities, compared with many existing quantum group proxy blind signature protocols, this scheme has a wider range of signature application scenarios.
Abstract When the original signer is unable to sign and the proxy signer does not know the information content, proxy blind signature comes into being and becomes a hot topic in cryptography research. This paper combines the methods of proxy blind signature, controlled quantum teleportation and multi-party verification, and proposes a multi-party verifiable quantum proxy blind signature scheme based on controlled quantum teleportation. This scheme has the following features: using a Hash function shared by all participants for authentication can effectively solve the problem of identity identification among members; in order to facilitate the original signer to ensure the security of proxy authorization, the quantum proxy signature authorization form is used to generate quantum states with mutual unbiased fundamental particles. The security analysis shows that the scheme is unforgeable and undeniable, and can resist intercept-forgery attack and collusive attack.
ABSTRACT As quantum technology advances, classical digital signatures exhibit vulnerabilities in preserving security properties during the transmission of information. Working toward a reliable communication protocol, we introduce a proxy blind signature scheme to teleport a single particle qubit state with a message to the receiver, employing a three qubit GHZ entangled state. The blindness property is utilized to secure the message information from the proxy signer. A trusted party, Trent, is introduced to supervise the communication process. Alice blinds the original message and sends the Bell measurements with her entangled particle to proxy signer Charlie. After receiving measurements from Alice and Charlie, Bob verifies the proxy blind signature and performs appropriate unitary operations on his particle. Thereafter, Trent verifies the security of the quantum teleportation setup by matching the output data with the original data sent by Alice. Security analysis results prove that the proposed scheme fulfils the basic security necessities, including undeniability, unforgeability, blindness, verifiability, and traceability.
With the development of science and technology and the appearance of various special conditions that cause signers to be unable to sign, proxy signature is gradually becoming a hot spot in cryptography research. This paper combines proxy signature, quantum teleportation, and multi-party verification and proposes a multi-party verifiable quantum proxy signature scheme based on quantum teleportation. This scheme has the following characteristics: The authentication method based on the Hash function can effectively solve the problem of identity identification among members; in order for the proxy signer to be able to verify the correctness of the proxy authorization, a form of proxy signature authorization that concatenates the identity information of the original signer is used. The security analysis shows that our scheme is unforgeable and undeniable and can resist intercept-resend attacks and cheating attacks.
With the advancement of quantum cryptography, proxy blind signature technology combines the message concealment of blind signatures with the delegation of authority inherent in proxy signatures, thereby simultaneously ensuring message privacy and the controlled delegation of signing authority, and playing a critical role in numerous fields. This paper proposes a quantum proxy blind signature protocol based on quantum teleportation. This protocol has the following features: First, by simplifying the keys and the encryption process and using a pseudorandom number generator and quantum state permutations to perform encryption, we avoid complex unitary transformations, thereby significantly lowering the technical barrier. Second, by employing high-capacity quantum encoding — where a two-particle quantum state encodes three classical bits — the information capacity of a single communication session is significantly increased. Finally, we propose the “local operation, global signature” paradigm, in which the surrogate need only manipulate a single entangled particle to achieve a global signature through nonlocality, while the verifier recovers the message via a joint measurement. This approach conserves quantum resources and simplifies the verification process. The security analysis demonstrates that the proposed protocol can ensure blindness, satisfy the requirements of unforgeability and undeniability, and effectively resistance to interception-retransmission attacks.
Traditional digital signatures are based on mathematical hard problems that are vulnerable to quantum attacks. For privacy-sensitive applications such as electronic cash and electronic voting, partially blind signatures are preferable because they protect private messages while allowing signers to verify necessary public information. This paper proposes an identity-based quantum partially blind signature scheme based on quantum teleportation. Each signing session is assigned a unique identifier. The user blinds the private binary message by applying Pauli-X operations with a one-time random string, while public information remains visible to the signer. A trusted PKG performs identity authentication, signature authorization, session-key distribution, and time-period-based key lifecycle management. Quantum tags and quantum authentication codes provide verification and arbitration evidence, while quantum teleportation is used to transmit quantum information. In case of disputes, an arbitrator can verify independently stored quantum evidence, and channel monitoring enables the detection of eavesdropping and tampering. Security analysis shows that the proposed scheme satisfies partial blindness, unforgeability, and non-repudiation, and resists malicious third-party attacks. It is suitable for privacy-preserving and restricted-authorization applications such as electronic cash and electronic voting.